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Finding the Third Proportional to 640,233 and 1,359,315

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Solution

The third proportional to 640,233 and 1,359,315 is: 2,886,038.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    640,233 : 1,359,315 = 1,359,315 : x
  2. Step 2: Convert to fraction form
    640,233/1,359,315 = 1,359,315/x
  3. Step 3: Cross multiply
    640,233x = 1,359,315 × 1,359,315
  4. Step 4: Simplify right side
    640,233x = 1,847,737,269,225
  5. Step 5: Solve for x
    x = 1,847,737,269,225/640,233
  6. Step 6: Final answer
    x = 2,886,038.78

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.